US 7,071,936 B2 · Systems and methods for providing signal-specialized parametrization

Abstract

Systems and methods are provided for optimizing a parametrization scheme in accordance with information about the surface signal. A surface parametrization is created to store a given surface signal into a texture image. The signal-specialized metric of the invention minimizes signal approximation error, i.e., the difference between the original surface signal and its reconstruction from the sampled texture. A signal-stretch parametrization metric is derived based on a Taylor expansion of signal error. For fast evaluation, the metric of the invention is pre-integrated over the surface as a metric tensor. The resulting parametrizations have increased texture resolution in surface regions with greater signal detail. Compared to traditional geometric parametrizations, the number of texture samples can often be reduced by a significant factor for a desired signal accuracy.

Claims23

Dependent claims

A method for optimizing signal stretch of a parametrization scheme in connection with computer graphics, comprising:

parametrizing a mesh utilizing a signal stretch metric, wherein the signal stretch metric is used to measure a plurality of signal stretch metric values corresponding to how much undersampling exists for different points on the surface of the mesh in accordance with both spatial relationships of the mesh and the signal on the surface of the mesh;
minimizing the plurality of signal stretch metric values to minimize undersampling over all points for the surface of the mesh;
for each face of the mesh, pre-computing integrated metric tensors (IMTs) based on signal stretch characteristics of the original mesh faces of the chart;
and
optimizing the plurality of signal stretch metric values computed from the IMTs by updating individual vertex positions of the chart, wherein said optimizing includes updating individual vertex positions of the chart using line searches.

2 more elements

Dependencies are inferred from the claim text.

Systems and methods for providing signal-specialized parametrization

Life of this patent

Systems and methods for providing signal-specialized parametrization

Life of this patent

Abstract

Claims23